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Question: A unit cell of sodium chloride has four formula units. The edge length of the unit cell is \(0.564nm...

A unit cell of sodium chloride has four formula units. The edge length of the unit cell is 0.564nm0.564nm. What is the density of sodium chloride?

A

3.89gcm−33.89gcm^{- 3}

B

2.16gcm−32.16gcm^{- 3}

C

3gcm−33gcm^{- 3}

D

1.82gcm−31.82gcm^{- 3}

Answer

2.16gcm−32.16gcm^{- 3}

Explanation

Solution

d=Z×Ma3×NAd = \frac{Z \times M}{a^{3} \times N_{A}}

=4×58.5(5.64×10−8)3×6.023×1023=2.16gcm−3= \frac{4 \times 58.5}{(5.64 \times 10^{- 8})^{3} \times 6.023 \times 10^{23}} = 2.16gcm^{- 3}